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Finding the Fourth Proportional to 486.85, 731.13 and 448.24

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Solution

The fourth proportional to 486.85, 731.13 and 448.24 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.85 : 731.13 = 448.24 : x
  2. Step 2: Convert to fraction form
    486.85/731.13 = 448.24/x
  3. Step 3: Cross multiply
    486.85x = 731.13 × 448.24
  4. Step 4: Simplify right side
    486.85x = 327,721.71
  5. Step 5: Solve for x
    x = 327,721.71/486.85
  6. Step 6: Final answer
    x = 673.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.